Simulation and Inference for Stochastic Processes with YUIMA

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Release : 2018-06-01
Genre : Computers
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Book Rating : 693/5 ( reviews)

Simulation and Inference for Stochastic Processes with YUIMA - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Simulation and Inference for Stochastic Processes with YUIMA write by Stefano M. Iacus. This book was released on 2018-06-01. Simulation and Inference for Stochastic Processes with YUIMA available in PDF, EPUB and Kindle. The YUIMA package is the first comprehensive R framework based on S4 classes and methods which allows for the simulation of stochastic differential equations driven by Wiener process, Lévy processes or fractional Brownian motion, as well as CARMA, COGARCH, and Point processes. The package performs various central statistical analyses such as quasi maximum likelihood estimation, adaptive Bayes estimation, structural change point analysis, hypotheses testing, asynchronous covariance estimation, lead-lag estimation, LASSO model selection, and so on. YUIMA also supports stochastic numerical analysis by fast computation of the expected value of functionals of stochastic processes through automatic asymptotic expansion by means of the Malliavin calculus. All models can be multidimensional, multiparametric or non parametric.The book explains briefly the underlying theory for simulation and inference of several classes of stochastic processes and then presents both simulation experiments and applications to real data. Although these processes have been originally proposed in physics and more recently in finance, they are becoming popular also in biology due to the fact the time course experimental data are now available. The YUIMA package, available on CRAN, can be freely downloaded and this companion book will make the user able to start his or her analysis from the first page.

An Introduction to Stochastic Modeling

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Release : 2011
Genre : Mathematics
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Book Rating : 162/5 ( reviews)

An Introduction to Stochastic Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Stochastic Modeling write by Mark Pinsky. This book was released on 2011. An Introduction to Stochastic Modeling available in PDF, EPUB and Kindle. Serving as the foundation for a one-semester course in stochastic processes for students familiar with elementary probability theory and calculus, Introduction to Stochastic Modeling, Fourth Edition, bridges the gap between basic probability and an intermediate level course in stochastic processes. The objectives of the text are to introduce students to the standard concepts and methods of stochastic modeling, to illustrate the rich diversity of applications of stochastic processes in the applied sciences, and to provide exercises in the application of simple stochastic analysis to realistic problems. New to this edition: Realistic applications from a variety of disciplines integrated throughout the text, including more biological applications Plentiful, completely updated problems Completely updated and reorganized end-of-chapter exercise sets, 250 exercises with answers New chapters of stochastic differential equations and Brownian motion and related processes Additional sections on Martingale and Poisson process Realistic applications from a variety of disciplines integrated throughout the text Extensive end of chapter exercises sets, 250 with answers Chapter 1-9 of the new edition are identical to the previous edition New! Chapter 10 - Random Evolutions New! Chapter 11- Characteristic functions and Their Applications

Stochastic Processes

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Release : 2009
Genre :
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Book Rating : /5 ( reviews)

Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Processes write by D. N. Shanbhag. This book was released on 2009. Stochastic Processes available in PDF, EPUB and Kindle.

Continuous-Parameter Time Series

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Release : 2024-07-22
Genre : Mathematics
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Book Rating : 032/5 ( reviews)

Continuous-Parameter Time Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Continuous-Parameter Time Series write by Peter J. Brockwell. This book was released on 2024-07-22. Continuous-Parameter Time Series available in PDF, EPUB and Kindle. This book provides a self-contained account of continuous-parameter time series, starting with second-order models. Integration with respect to orthogonal increment processes, spectral theory and linear prediction are treated in detail. Lévy-driven models are incorporated, extending coverage to allow for infinite variance, a variety of marginal distributions and sample paths having jumps. The necessary theory of Lévy processes and integration of deterministic functions with respect to these processes is developed at length. Special emphasis is given to the analysis of continuous-time ARMA processes.

A Course in Stochastic Processes

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 698/5 ( reviews)

A Course in Stochastic Processes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Course in Stochastic Processes write by Denis Bosq. This book was released on 2013-03-09. A Course in Stochastic Processes available in PDF, EPUB and Kindle. This text is an Elementary Introduction to Stochastic Processes in discrete and continuous time with an initiation of the statistical inference. The material is standard and classical for a first course in Stochastic Processes at the senior/graduate level (lessons 1-12). To provide students with a view of statistics of stochastic processes, three lessons (13-15) were added. These lessons can be either optional or serve as an introduction to statistical inference with dependent observations. Several points of this text need to be elaborated, (1) The pedagogy is somewhat obvious. Since this text is designed for a one semester course, each lesson can be covered in one week or so. Having in mind a mixed audience of students from different departments (Math ematics, Statistics, Economics, Engineering, etc.) we have presented the material in each lesson in the most simple way, with emphasis on moti vation of concepts, aspects of applications and computational procedures. Basically, we try to explain to beginners questions such as "What is the topic in this lesson?" "Why this topic?", "How to study this topic math ematically?". The exercises at the end of each lesson will deepen the stu dents' understanding of the material, and test their ability to carry out basic computations. Exercises with an asterisk are optional (difficult) and might not be suitable for homework, but should provide food for thought.